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Manual of Plane Trigonometry, by J.A. Galbraith and S. Haughton
Joseph Allen Galbraith
No preview available - 2016
already angle is equal angular unit appears applying Book Calculate called centre Chap characteristic circle Circumference complement computation constructed corresponding cosec cotangent decimal degrees and minutes derived diameter diff divide division equation Euclid EXAMPLES Express feet figures find the angle find the area Find the logarithm find the number Find the product find the value follows Given the logarithm greater half increase length less log cosine log sin log sine Logarithmic Tables magnitudes mantissa means method miles minutes Multiply negative obtain opposite Prop proportional PROPOSITION quantities radius ratio reason relations required to find respectively result right angle right-angled triangle root rule secant seconds sect side similar sines and cosines square root Substituting subtends subtract supplement tables tangent triangle BCP trigonometrical unity
Page ii - RULE. The characteristic of the logarithm of a number greater than unity, is one less than the number of integral figures in the given number.
Page 5 - ... to be divided into 60 equal parts, called minutes; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
Page 10 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.
Page iv - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page ii - The Characteristic of the logarithm of a number less than unity, and reduced to the decimal form, is negative and one greater than the number of cyphers following the decimal point.
Page xi - ... will be the logarithm of the quotient. 3°. Find from the Tables the corresponding number. This will be the required quotient.
Page 2 - S3". 6. Besides the above-mentioned unit of angular measure, viz. the 90th part of a right angle, which is always used in practical applications, there is another, viz. the angle at the centre of a circle which is subtended by an arc equal to the radius of the circle, which is more convenient in analytical investigations.
Page 10 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.